Finding the Third Proportional to 6,680 and 10,399

Step by Step Solution

1. Step 1: Write the proportion equation
   6,680 : 10,399 = 10,399 : x
2. Step 2: Convert to fraction form
   6,680/10,399 = 10,399/x
3. Step 3: Cross multiply
   6,680x = 10,399 × 10,399
4. Step 4: Simplify right side
   6,680x = 108,139,201
5. Step 5: Solve for x
   x = 108,139,201/6,680
6. Step 6: Final answer
   x = 16,188.50